In this article, we present new algorithms for the nonclassic Adomian polynomials, which are valuable for solving a wide range of nonlinear functional equations by the ...

This paper presents a theory of noncommutative functions which results in an algorithm for determining where they are "matrix convex". Of independent interest is a theory of ...

Includes nearly 4,000 linear partial differential equations (PDEs) with solutions Presents solutions of numerous problems relevant to heat and mass transfer, wave theory, ...

The inference of demographic history from genome data is hindered by a lack of efficient computational approaches. In particular, it has proved difficult to exploit the ...

Quantum generators which are quadratic in bosonic or fermionic creation and annihilation operators play very important role in quantum physics and quantum field theory ...

Mathematica provides a substantial environment for technical computing which includes powerful easily used tools for symbolic computation, numerical computation and graphics. ...

This tutorial introduces useful Mathematica idioms and utilities primarily for numeric array processing. When treated in the serial, looping manner of traditional programming ...

Mathematica is an advanced environment perfectly suited to rapid prototyping in scientific computing. One can easily combine symbolic and numerical computations and, in the ...

Mathematica 5 contains new functionality that allows users to solve, possibly quantified, systems of equations and inequalities with domain restrictions on the variables. The ...

Based on Haar wavelets an efficient numerical method is proposed for the numerical solution of system of coupled Ordinary Differential Equations (ODEs) related to the natural ...